Pretty sure all bodies have souls but not all bodies have spirits.
You are a spirit, you have a soul, and you have a body. You don't have a spirit though because you are spirit.
Yet some people are apparently, and I'm not really sure yet how to differentiate them, walking around with no divine spark (no spirit).
http://montalk.net/matrix/157/spiritless-humans
https://plato.stanford.edu/entries/zombies/
(also interesting is studies on MPD and the implications, e.g. what is mentioned in The Holographic Universe by Michael Talbot and in Sorcery by J. Finley Hurley and The Science of Miracles by Max Freedom Long)
I don't think a body can remain in a given form without a soul. I have heard mention though of group souls (a concept well explained in Reincarnation The Cycle of Necessity by Manly P. Hall). I guess the empty people simply have no individualized self, no divine spark, but are animated in the way ants/bees are, by a kind of group/species collective consciousness.
Can you explain why the, as you label it, "Illuminati" are stealing "souls"? If soul means to you what it means to me, I suspect that means they are stealing the minds (including memories and so on) of people they need to further their agenda?
I would like to see whatever material you have concerning the CIA's attempts to legislate whatever you're talking about. This might make it more clear to me what you mean by your terms.